425521057788288 has 3840 divisors, whose sum is σ = 1730635761254400. Its totient is φ = 101250208604160.

The previous prime is 425521057788283. The next prime is 425521057788389. The reversal of 425521057788288 is 882887750125524.

425521057788288 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 21 + 0 + 577 + 8 + 8 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425521057788283) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 911179995031 + ... + 911179995497.

It is an arithmetic number, because the mean of its divisors is an integer number (450686396160).

Almost surely, 2^{425521057788288} is an apocalyptic number.

425521057788288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425521057788288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865317880627200).

425521057788288 is an abundant number, since it is smaller than the sum of its proper divisors (1305114703466112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425521057788288 is a wasteful number, since it uses less digits than its factorization.

425521057788288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 802816000, while the sum is 72.

The spelling of 425521057788288 in words is "four hundred twenty-five trillion, five hundred twenty-one billion, fifty-seven million, seven hundred eighty-eight thousand, two hundred eighty-eight".